Introduction

If you want a good measurement problem, watch the movie Die Hard with a Vengeance. In the movie, the characters played by Bruce Willis and Samuel L. Jackson are trying to stop the bad guys and find themselves in a crowded park with a five-gallon plastic jug, a three-gallon plastic jug, a water fountain, and a big bomb attached to a scale. To defuse the bomb, they must place four gallons of water (with no more than a few ounces error) on the scale within a certain amount of time; otherwise, everyone dies. They solve the problem, of course, but only after realizing that the jugs and scale are not enough and that they need a precise, logical process to arrive at the necessary measurement. The scene is great. It has a measurement challenge, ...

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